Series & parallel resistors worksheet with answers

Free printable Series & parallel resistors worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

New worksheetPractise online with hints

For teachers: free to print, copy and use in class. Every new worksheet has new values and its own answer key. A link to ExamProblems on your course page is appreciated.

Name: ____________________   Date: ____________

1.Easy
R1​ = 8 Ω+−V1​12 VR2​6 ΩIR2​AR3​4 Ω

Find the current IR2 through R2.

V1 = 12 VR1 = 8 ΩR2 = 6 ΩR3 = 4 Ω
IR2 = A
2.Easy
R1​ = 5 ΩIR1​+−V1​8 VR2​10 ΩAR3​2 Ω

Find the current IR1 delivered by the source, which flows through R1.

V1 = 8 VR1 = 5 ΩR2 = 10 ΩR3 = 2 Ω
IR1 = A
3.Medium
R1​ = 12 ΩR3​ = 20 Ω+−V1​18 VR2​6 ΩAR4​10 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 18 VR1 = 12 ΩR2 = 6 ΩR3 = 20 ΩR4 = 10 Ω
Req = Ω
4.Medium
R1​ = 4 ΩR3​ = 10 Ω+−V1​18 VR2​8 ΩIR2​AR4​20 ΩB

Find the current IR2 through R2.

V1 = 18 VR1 = 4 ΩR2 = 8 ΩR3 = 10 ΩR4 = 20 Ω
IR2 = A
5.Hard
R1​ = 5 ΩR3​ = 5 ΩR5​ = 4 Ω+−V1​24 VR2​4 ΩAR4​10 ΩBR6​2 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 24 VR1 = 5 ΩR2 = 4 ΩR3 = 5 ΩR4 = 10 ΩR5 = 4 ΩR6 = 2 Ω
Req = Ω
6.Hard
R1​ = 5 ΩR3​ = 8 ΩR5​ = 4 Ω+−V1​36 VR2​4 ΩAR4​20 ΩBR6​15 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 36 VR1 = 5 ΩR2 = 4 ΩR3 = 8 ΩR4 = 20 ΩR5 = 4 ΩR6 = 15 Ω
Req = Ω

Answer key

  1. 1. IR2 = 0.4615 A
  2. 2. IR1 = 1.2 A
  3. 3. Req = 17 Ω
  4. 4. IR2 = 1.378 A
  5. 5. Req = 7.745 Ω
  6. 6. Req = 8.264 Ω

Full step-by-step solutions: practise this topic on examproblems.com.